Show simple item record

dc.contributor.advisorEspriella Vélez, Nicolás de la
dc.contributor.authorPadilla Montiel, Fabio Anderson
dc.date.accessioned2021-07-16T22:01:24Z
dc.date.available2021-07-16T22:01:24Z
dc.date.issued2021-05-26
dc.identifier.urihttps://repositorio.unicordoba.edu.co/handle/ucordoba/4366
dc.description.abstractEl trabajo caracteriza termomagnéticamente un sistema ferrimagnético y otro ferromagnético de espines S = 5/2 y Q=7/2, en una con guración de red cuadrada, mediante un modelo de Ising mixto y a través del método computacional Monte Carlo. Se tienen en cuenta interacciones a primeros y segundos vecinos en la red, campos cristalino y magnético externo. Se encuentran fenómenos físicos interesantes tales como transiciones de fase discontinuas, temperaturas críticas y temperaturas de compensación, mediante el cálculo de diagramas de fase a temperatura fi nita de la magnetización, energía, calor específi co y susceptibilidad magnética.spa
dc.description.tableofcontentsResumenspa
dc.description.tableofcontentsÍndice de fi gurasspa
dc.description.tableofcontents1. Estructuras magnéticas 20spa
dc.description.tableofcontents1.1. Materiales Ferromagnéticos . . . . . . . . . . . . . . . . . . . . . . . 20spa
dc.description.tableofcontents1.2. Materiales Ferrimagnéticos . . . . . . . . . . . . . . . . . . . . . . . . 24spa
dc.description.tableofcontents1.3. Interacción de Intercambio . . . . . . . . . . . . . . . . . . . . . . . . 30spa
dc.description.tableofcontents1.4. Modelo de Ising . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30spa
dc.description.tableofcontents1.4.1. Modelo de Ising unidimensional . . . . . . . . . . . . . . . . . 31spa
dc.description.tableofcontents1.4.2. Modelo de Ising en dos dimensiones . . . . . . . . . . . . . . . 32spa
dc.description.tableofcontents1.5. Método Monte Carlo . . . . . . . . . . . . . . . . . . . . . . . . . . . 34spa
dc.description.tableofcontents1.5.1. Muestreo Directo . . . . . . . . . . . . . . . . . . . . . . . . . 35spa
dc.description.tableofcontents1.5.2. Muestreo de Importancia . . . . . . . . . . . . . . . . . . . . . 36spa
dc.description.tableofcontents1.5.3. Cadenas de Markov . . . . . . . . . . . . . . . . . . . . . . . . 37spa
dc.description.tableofcontents1.5.4. Algoritmo de Metropolis . . . . . . . . . . . . . . . . . . . . . 38spa
dc.description.tableofcontents1.6. Descripción del algoritmo para sistemas mixtos de Ising: Algoritmo baño térmico . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39spa
dc.description.tableofcontents1.7. Transiciones de fase . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41spa
dc.description.tableofcontents1.7.1. Transiciones de fase de primer orden . . . . . . . . . . . . . . 42spa
dc.description.tableofcontents1.7.2. Transiciones de fase de segundo orden . . . . . . . . . . . . . . 43spa
dc.description.tableofcontents1.7.3. Transiciones de fase Ferromagnéticas . . . . . . . . . . . . . . 44spa
dc.description.tableofcontentsI RESULTADOS Y ANÁLISIS: SISTEMA FERRIMAGNÉTICO 46spa
dc.description.tableofcontents2. Diagramas de fase a temperaturas fi nitas del ferrimagneto de espines S = 5/2 y Q= 7/2 . . . . 47spa
dc.description.tableofcontents2.1. CASO I: Modelo J1 - J2 - D - h . . . . . . . . . . . . . . . . . . 49spa
dc.description.tableofcontents2.1.1. Efecto de h: Diagramas de fase a temperatura fi nita . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49spa
dc.description.tableofcontents2.1.2. Efecto de J2: Diagramas de fase a temperatura fi nita . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59spa
dc.description.tableofcontents2.2. CASO II: Modelo J1 - J2 - J3 - h . . . . . . . . . . . . . . . . . . 68spa
dc.description.tableofcontents2.2.1. Comportamiento termomagnético de la energía y el calor específi co . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69spa
dc.description.tableofcontents2.2.2. Comportamiento termomagnético de las magnetizaciones y la susceptibilidad magnética . . . . . . . . . . . . . . . . . . . . 72spa
dc.description.tableofcontentsII RESULTADOS Y ANÁLISIS: SISTEMA FERROMAGNÉTICO 84spa
dc.description.tableofcontents3. Diagramas de fase a temperaturas finitas del ferromagneto de espines S = 5/2 y Q = 7/2 85spa
dc.description.tableofcontents3.1. CASO I: Modelo ferromagnético J1 - J2 - J3 - h . . . . . . . . 85spa
dc.description.tableofcontents3.1.1. Comportamiento termomagnético de la energía y el calor específi co . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86spa
dc.description.tableofcontents3.1.2. Comportamiento termomagnético de las magnetizaciones y la susceptibilidad magnética . . . . . . . . . . . . . . . . . . . . 89spa
dc.description.tableofcontents3.2. CASO II: Modelo ferromagnético J1 - J2 - D - h . . . . . . . . 95spa
dc.description.tableofcontents3.2.1. Efecto de h: Diagramas de fase C, Tc y MT . . . . . . . . . . . 96spa
dc.description.tableofcontents3.2.2. Efecto de J2: Diagramas de fase C, Tc y MT . . . . . . . . . . 98spa
dc.description.tableofcontents4. Conclusiones 101spa
dc.description.tableofcontents4.1. Parte I: Sistema Ferrimagnético . . . . . . . . . . . . . . . . . . . . . 101spa
dc.description.tableofcontents4.1.1. CASO I: Modelo J1 -J2 - D - h . . . . . . . . . . . . . . . . 101spa
dc.description.tableofcontents4.1.2. CASO II: Modelo J1 - J2 - J3 - h . . . . . . . . . . . . . . . 102spa
dc.description.tableofcontents4.2. Parte II: Sistema Ferromagnético . . . . . . . . . . . . . . . . . . . . 103spa
dc.description.tableofcontents4.2.1. CASO I: Modelo ferromagnético J1 - J2 - J3 - h . . . . . . . 103spa
dc.description.tableofcontents4.2.2. CASO II: Modelo ferromagnético J1 - J2 - D - h . . . . . . . 103spa
dc.format.mimetypeapplication/pdfspa
dc.language.isospaspa
dc.rightsCopyright Universidad de Córdoba, 2021spa
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/spa
dc.titleComportamiento termomagnético de los sistemas ferro y ferrimagnético de espines S = 5/2 Y Q = 7/2spa
dc.typeTrabajo de grado - Maestríaspa
dcterms.referencesW. Greiner, L. Neise, and H. Stocker. Thermodynamics and statistical mechanics. New York, Springer, 1995.spa
dcterms.referencesA. Gelover. Simulaci on del modelo de Ising con el m etodo de Monte Carlo: 2th edici on. Facultad de Ciencias UNAM, 2005.spa
dcterms.referencesE. Ising. Beitrag zur theorie des ferromagnetismus. Zeitschrift fur Physik, 31:253{ 258, 1925.spa
dcterms.referencesL. Onsager. Crystal Statistics. I. A Two-Dimensional Model with an Order- Disorder Transitions: 2th edici on. Physical Review 65, 117-149, 1944.spa
dcterms.referencesN. De La Espriella, G. Casiano, and C. Ortega. Efecto de los campos cristalinos en un ferromagneto de ising mixto bidimensional. Scielo Analytics, 397:125{134, 2012.spa
dcterms.referencesM. Erta s, B. Deviren, and M. Keskin. Nonequilibrium magnetic properties in a two-dimensional kinetic mixed ising system within the e ective- eld theory and glauber-type stochastic dynamics approach. Physical Review E, 86(5):051110, 2012.spa
dcterms.referencesA. Jabar, R. Masrour, A. Benyoussef, and M. Hamedoun. Monte carlo study of alternate mixed spin-5/2 and spin-2 ising ferrimagnetic system on the bethe lattice. Journal of Magnetism and Magnetic Materials, 397:287{294, 2016.spa
dcterms.referencesM. Keskin, M. A. P nar, A. Erdin c, and O. Canko. Multicritical behavior of the antiferromagnetic spin-32 blume{emery{gri ths model. Physica A: Statistical Mechanics and its Applications, 364:263{270, 2006.spa
dcterms.referencesN. Sounderya and Y. Zhang. Use of core/shell structured nanoparticles for biomedical applications. Recent Pat. Biomed. Eng. 1, page 34, 2008.spa
dcterms.referencesN. De La Espriella, C. A. Mercado, and G. M. Buend a. Critical and compensation points of a mixed spin-2-spin-5=2 ising ferrimagnetic system with crystal eld and nearest and next-nearest neighbors interactions. J. Magn. Magn. Mater. 45, 417:30{36, 2016.spa
dcterms.referencesA. Feraoun, S. Amraoui, and M. Kerouad. Critical and compensation behaviors of an ising mixed spin-(5/2, 3/2) on a nanographene layer. Applied Physics A, 124(4):329, 2018.spa
dcterms.referencesB. Deviren, M. Keskin, and O. Canko. Magnetic properties of an antiferromagnetic and ferrimagnetic mixed spin-1/2 and spin-5/2 ising model in the longitudinal magnetic eld within the e ective- eld approximation. Physica A: Statistical Mechanics and its Applications, 388(9):1835{1848, 2009.spa
dcterms.referencesT. Bahlagui, A. El Kenz, and A. Benyoussef. Crystal eld e ects on magnetic properties of a mixed ferrimagnetic ising system: A monte carlo study. Journal of Superconductivity and Novel Magnetism, 31(12):4179{4184, 2018.spa
dcterms.referencesB. D. Cullity and C. D. Graham. Introduction to Magnetic Materials, Second Edition. Institute of Electrical and Electronics Engineers, USA, 2009.spa
dcterms.referencesM. Karimou, R. A. Yessoufou, G. D. Ngantso, F. Hontin nde, and A. Benyoussef. Mean- eld and monte carlo studies of the magnetic properties of a spin-7/2 and spin-5/2 ising bilayer lm. Journal of Superconductivity and Novel Magnetism, 32(6):1769{1779, 2019.spa
dcterms.referencesL. D. Landau. On the theory of phase transitions. En Ter Haar, D. (ed.) Collected Papers of D. LandauL. Pergamon, Oxford. 193:216, 1985.spa
dcterms.referencesE. J. Newman and G. T. Barkema. Monte Carlo Methods in Statistical Physics. Clarendon Press-Oxford, 1999.spa
dcterms.referencesW. Wang, D. Lv, F. Zhang, J. Bi, and J. Chen. Monte carlo simulation of magnetic properties of a mixed spin-2 and spin-5/2 ferrimagnetic ising system in a longitudinal magnetic eld. Journal of Magnetism and Magnetic Materials, 385:16{26, 2015.spa
dcterms.referencesN. De La Espriella, C. A. Mercado, and G.M. Buend a. Critical and compensation points of a mixed spin-2-spin-5/2 ising ferrimagnetic system with crystal eld and nearest and next-nearest neighbors interactions. Journal of Magnetism and Magnetic Materials, 417:30{36, 2016.spa
dcterms.referencesJ. A. Reyes, N. De La Espriella, and G.M. Buend a. E ects of an external magnetic eld on a mixed spin-and spin-ising ferrimagnet: A monte carlo study. physica status solidi (b), 252(10):2268{2274, 2015.spa
dcterms.referencesN. De La Espriella, G. R. Casiano, and C. Ortega. Magnetic properties of mixed spin -3/2 and spin -5/2 ising ferrimagnetic system. Informaci on tecnol ogica, 23(2):129{140, 2012.spa
dcterms.referencesN. De La Espriella V elez, J. Madera Yancez, and M. P aez. Monte carlo studies of critical phenomena in mixed spin-3/2 and spin-5/2 ising model on square lattice. Revista mexicana de f sica, 60(6):419{424, 2014.spa
dcterms.referencesN. De La Espriella, J. C. Madera, and G.M. Buend a. Critical phenomena in a mixed spin-3/2 and spin-5/2 ising ferro-ferrimagnetic system in a longitudinal magnetic eld. Journal of Magnetism and Magnetic Materials, 442:350{359, 2017.spa
dcterms.referencesE. Albayrak. The critical and compensation temperatures for the mixed spin-32 and spin-2 ising model. Physica B: Condensed Matter, 391(1):47{53, 2007.spa
dcterms.referencesM. Keskin and M. Erta s. Mixed-spin ising model in an oscillating magnetic eld and compensation temperature. Journal of Statistical Physics, 139(2):333{344, 2010.spa
dcterms.referencesAi-Yuan Hu and Huai-YuWang. The compensation temperature of a mixed spin- 1/2 and spin-1 heisenberg ferrimagnetic systems. Materials Research Express, 3(3):036105, 2016.spa
dcterms.referencesW. Jiang, X. Li, A. Guo, H. Guan, Z. Wang, and K. Wang. Magnetic properties and thermodynamics in a metallic nanotube. Journal of magnetism and magnetic materials, 355:309{318, 2014.spa
dcterms.referencesM. Zukovi c and A. Bob ak. Phase diagram of a mixed spin-1 and spin-3/2 ising ferrimagnet. Physica A: Statistical Mechanics and its Applications, 389(23):5402{ 5407, 2010.spa
dcterms.referencesG. Wei, Y. Gu, and J. Liu. Mean- eld and monte carlo studies of a mixed spin-1 and spin-2 ising system with di erent anisotropies. Physical Review B, 74(2):024422, 2006.spa
dcterms.referencesT. Bahlagui, H. Bouda, A. El Kenz, L. Bahmad, and A. Benyoussef. Monte carlo simulation of compensation behavior for a mixed spin-5/2 and spin-7/2 ising system with crystal eld interaction. Superlattices and Microstructures, 110:90{97, 2017.spa
dcterms.referencesJ. E. Wegrowe, D. Kelly, Y. Jaccard, Ph. Guittienne, and J. Ph. Ansermet. Current-induced magnetization reversal in magnetic nanowires. Europhys. Lett. 45, pages 626{632, 1999.spa
dcterms.referencesN. H. Zeng, J. Li, J. P. Liu, Z. L. Wang, and S. Sun. Exchange-coupled nanocomposite magnets by nanoparticle self-assembly. Nature 420, page 395, 2002.spa
dcterms.referencesD. W. Elliott and W. X. Zhang. Field assessment of nanoscale bimetallic particles for groundwater treatment. Environ. Sci. Technol. 35, page 4922, 2001.spa
dcterms.referencesC. Kittel. Introducci on a la f sica del estado s olido, 3th Edici on. Editorial Revert e, Espa~na, 1998.spa
dcterms.referencesHadey K. Mohamada. Spin compensation temperatures induced by longitudinal elds in a mixed spin-3/2 and spin-5/2 isingferrimagnet. Phys. Rev. A, 323:61{66, 2011.spa
dcterms.referencesJ. Solyom. Fundamentals of the physics of solids: volumen 1-structure and Dy- namics. Springer-Verlag Berlin Heidelberg, 461-463, 2007.spa
dcterms.referencesN. A. Spaldin. Magnetic materials: fundamentals and applications. Cambridge university press, 2010.spa
dcterms.referencesM. Getzla . Fundamentals of magnetism. Springer Science & Business Media, 2007.spa
dcterms.referencesI. Levine. Qu mica cu antica: 5th edici on. City University of New York, 2001.spa
dcterms.referencesB. McCoy and T. Tsun Wu. The two-dimensional Ising Model: 2th edici on. Harvard university, 2014.spa
dcterms.referencesD. P. Landau and K. Binder. A guide to Monte Carlo simulations in statistical physics. Cambridge university press, 2014.spa
dcterms.referencesD. Frenkel and B. Smit. Understanding molecular simulation: From algorithms to applications, 2002.spa
dcterms.referencesJ. M. Yeomans. Statistical mechanics of phase transitions. Clarendon Press, 1992.spa
dcterms.referencesN. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller. Equation of state calculations by fast computing machines. The journal of chemical physics, 21(6):1087{1092, 1953.spa
dcterms.referencesB. A. Berg and A. Billoire. Markov chain monte carlo simulations. Wiley Ency- clopedia of Computer Science and Engineering, 2007.spa
dcterms.referencesH. Eugene. Introduction to phase transitions and critical phenomena. Clarendon press-Oxford, 19, 1971.spa
dcterms.referencesP. Papon, J. Leblond, and P. H. E. Meijer. The Physics of Phase Transitions Concepts and Applications. Springer. 1:35, 2006.spa
dcterms.referencesD. Chowdhury and D. Stau er. Principles of Equilibrium Statistical Mechanics. Alemania:Wiley-VCH. 538, 2000.spa
dcterms.referencesG. M. Buendia and M. A. Novotny. Numerical study of a mixed ising ferrimagnetic system. Journal of Physics: Condensed Matter, 9(27):5951, 1997.spa
dcterms.referencesT. A. Ostler, J. Barker, R. F. L Evans, R. W. Chantrell, U Atxitia, O Chubykalo- Fesenko, S. El Moussaoui, L. B. P. J. Le Guyader, E. Mengotti, L. J. Heyderman, et al. Ultrafast heating as a su cient stimulus for magnetization reversal in a ferrimagnet. Nature communications, 3(1):1{6, 2012.spa
dcterms.referencesJ. Barker, U. Atxitia, T. A. Ostler, O. Hovorka, O. Chubykalo-Fesenko, and R. W. Chantrell. Two-magnon bound state causes ultrafast thermally induced magnetisation switching. Scienti c reports, 3:3262, 2013.spa
dcterms.referencesA. Dakhama and N. Benayad. On the existence of compensation temperature in 2d mixed-spin ising ferrimagnets: an exactly solvable model. Journal of Magnetism and Magnetic Materials, 213(1-2):117{125, 2000.spa
dcterms.referencesM. Mansuripur. Magnetization reversal, coercivity, and the process of thermomagnetic recording in thin lms of amorphous rare earth{transition metal alloys. Journal of applied physics, 61(4):1580{1587, 1987.spa
dcterms.referencesC. D. Stanciu, A. V. Kimel, F. Hansteen, A. Tsukamoto, A. Itoh, A. Kirilyuk, and T. h. Rasing. Ultrafast spin dynamics across compensation points in ferrimagnetic GdFeCo: The role of angular momentum compensation. Physical Review B, 73(22):220402, 2006.spa
dcterms.referencesG. Chern, L. Horng, W. K. Shieh, and T. C.Wu. Antiparallel state, compensation point, and magnetic phase diagram of Fe3O4=Mn3O4 superlattices. Physical Review B, 63(9):094421, 2001.spa
dcterms.referencesH. Kageyama, D. I. Khomskii, R. Z. Levitin, and A. N. Vasil'ev. Weak ferrimagnetism, compensation point, and magnetization reversal in Ni (HCOO)2 2H2O. Physical Review B, 67(22):224422, 2003.spa
dcterms.referencesT. A. Ostler, J. Barker, R. F. L. Evans, R. W. Chantrell, U. Atxitia, O. Chubykalo-Fesenko, S. El Moussaoui, L. B. P. J Le Guyader, E. Mengotti, L. J. Heyderman, et al. Ultrafast heating as a su cient stimulus for magnetization reversal in a ferrimagnet. Nature communications, 3(1):1{6, 2012.spa
dcterms.referencesJ. St ohr and H. C. Siegmann. Magnetism. Solid-State Sciences. Springer, Berlin, Heidelberg, 5, 2006.spa
dcterms.referencesM. H. Kryder, E. C. Gage, T. W. McDaniel, W. A. Challener, R. E. Rottmayer, G. Ju, Y. Hsia, and M. F. Erden. Heat assisted magnetic recording. Proceedings of the IEEE, 96(11):1810{1835, 2008.spa
dc.type.driverinfo:eu-repo/semantics/masterThesisspa
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccessspa
dc.rights.creativecommonsAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)spa
dc.subject.proposalSistema ferromagnéticospa
dc.subject.proposalSistema ferrimagnéticospa
dc.subject.proposalTemperatura de compensaciónspa
dc.subject.proposalModelo de Ising Mixtospa
dc.subject.proposalTemperatura críticaspa
dc.type.coarhttp://purl.org/coar/resource_type/c_bdccspa
dc.type.versioninfo:eu-repo/semantics/submittedVersionspa
dc.subject.keywordsFerromagnetic systemeng
dc.subject.keywordsFerrimagnetic systemeng
dc.subject.keywordsCompensation temperatureeng
dc.subject.keywordsMixed Ising modeleng
dc.subject.keywordsCritical temperatureeng
dc.description.degreelevelMaestríaspa
dc.description.degreenameMagíster en Ciencias Físicasspa
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.publisher.placeMontería, Córdoba, Colombiaspa
dc.publisher.programMaestría en Ciencias Físicasspa
dc.type.contentTextspa
dc.type.redcolhttps://purl.org/redcol/resource_type/TMspa
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa
oaire.versionhttp://purl.org/coar/version/c_ab4af688f83e57aaspa
dc.description.modalityTrabajo de Investigación y/o Extensiónspa


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record

Copyright Universidad de Córdoba, 2021
Except where otherwise noted, this item's license is described as Copyright Universidad de Córdoba, 2021